Begin by converting both fractions to improper fractions
To accomplish this, you follow these steps:
Whole number * denominator, then add the product to the numerator. Keep denominator the same.
3 1/2 --> 7/2
8 2/3 --> 26/3
Now, to multiply fractions, multiply the top numbers (numerators) together and then the bottom numbers (denominators) together
7*26=182
2*3=6
You would get 182/6. To simply, find the GCF between 182 and 6. This would be 2, so divide them both by 2.
182/2 = 91
6/2 = 3
So, in the lowest terms, 3 1/2 * 8 2/3 = 91/3. Turn this back to an improper fraction.
91/3 --> 30 1/3
30 1/3 is your answer.